Computing rotation numbers in open books
Autor: | Durst, Sebastian, Kegel, Marc |
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Rok vydání: | 2018 |
Předmět: | |
Zdroj: | J. G\"okova Geom. Topol. GGT 12 (2018), 71-92 |
Druh dokumentu: | Working Paper |
Popis: | We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new formulas for the computation of the Thurston-Bennequin invariant of such knots and the Euler class and the d3-invariant of the underlying contact structure. Comment: 20 pages, 7 figures; v.2: minor changes and clarifications; v.3: changed Example 1.3 and corrected the definition of Q in Algorithm 6.1 |
Databáze: | arXiv |
Externí odkaz: |